To plot Ψ(x, t) = Asin (kx Ït) as a function of one of the variables x and t, the other variable needs to be

To plot Ψ(x, t) = Asin (kx ˆ’ ωt) as a function of one of the variables x and t, the other variable needs to be set at a fixed value, x₀or t₀. If Ψ(x₀, 0) / Ψ_max= ˆ’0.280, what is the constant value of x₀in the upper panel of Figure 13.3? If Ψ (0, t₀) / Ψ_max= ˆ’0.309, what is the constant value of t0 in the lower panel of Figure 13.3? (The inverse sine function has two solutions within an interval of 2Ï€. Make sure that you choose the correct one.)

Figure 13.3

1 0.5 10t/s 1.0 2.0 0.5 1.5 -0.5 0.5 x/m 2,5 0,5 1.5 3 -0.5 Relative amplitude